Question

5-Sendo A=x+3,B=X+2, C=x-1 D=x-4, calcule: a)A B+C
b) A+ CD
c) B D+C
d)ABC ​

Answer 1

Explicação passo-a-passo:

Adição e multiplicação de polinómios:

A = x + 3

B = x + 2

C = x — 1

D = x — 4

A)

AB + C = ??

AB+C = (x+3)(x+2)+(x—1)

AB+C = x² + 2x + 3x + 6 + x — 1

AB+C = x² + 6x — 5

B)

A+CD = ??

A+CD = x + 3 + (x — 1)(x — 4)

A+CD = x + 3 + x² — 4x — x + 4

A+CD = x² — 5x + x + 7

A+CD = x² — 4x + 7

C)

BD + C = ??

BD+C = (x + 2)(x—4)+(x—2)

BD+C = x² — 4x + 2x + x — 2

BD+C = x² — x — 2

D)

ABC = ??

ABC = (x+3)(x+2)(x—1)

ABC = (x²+2x+3x+6)(x—1)

ABC = (x—1)(x²+5x+6)

ABC = x³+5x²+6x—x²—5x—6

ABC = x³+4x²—x—6

Espero ter ajudado bastante!)